Is an isosceles triangle each base angle is 30 degree greater than the vertical angle .Find the masure o
f all the three angles of the triangle?
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Answer:
vertical angle=40° and base angles= 70°
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Step-by-step explanation:
An isosceles triangle has two angles equal in size. In this problem A is greater than B therefore angles B and C are equal in size. Since angle A is 30 greater than angle B then A = B + 30 o. The sum of all angles in a triangle is equal to 180 o.
(B+30) + B + B = 180
Solve the above equation for B.
B = 50 o
The sizes of the three angles are
A = B + 30 = 80 o
C = B = 50 o
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